Solve 5/6-9/10

$$\frac{ 5 }{ 6 } - \frac{ 9 }{ 10 }$$

Evaluate

$$-\frac{1}{15}\approx -0.066666667$$

Solution Steps

Least common multiple of 6 and 10 is 30. Convert \frac{5}{6} and \frac{9}{10} to fractions with denominator 30.

$$\frac{25}{30}-\frac{27}{30}$$

Since \frac{25}{30} and \frac{27}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-27}{30}$$

Subtract 27 from 25 to get -2.

$$\frac{-2}{30}$$

Reduce the fraction \frac{-2}{30} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{15}$$

Factor

$$-\frac{1}{15} = -0.06666666666666667$$